Robust control of quantum information

Journal of Chemical Physics

Volumn 119, Issue 19, 2003, Pages 9993-10001

  Pravia, Marco A ^a,b   Boulant, Nicolas ^a   Emerson, Joseph ^a   Farid, Amro ^a   Fortunato, Evan M ^a   Havel, Timothy F ^a   Martinez, R ^c   Cory, David G ^a  

^a USA   (United States)

^b UNIVERSITY OF PUERTO RICO   (Puerto Rico)

^c LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; EIGENVALUES AND EIGENFUNCTIONS; HAMILTONIANS; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; MOLECULAR DYNAMICS; MOLECULAR STRUCTURE; NUCLEAR MAGNETIC RESONANCE SPECTROSCOPY; OPTIMIZATION; PERTURBATION TECHNIQUES;

DECOHERENT ERROR; INCOHERENT ERROR; QUANTUM ERROR CORRECTION;

QUANTUM THEORY;

EID: 0345529865     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1619132     Document Type: Article

References (34)

1. I. Rabi, S. Millman, P. Kusch, and J. Zacharias, Phys. Rev. 55, 526 (1939).
2. U. Haeberlen and J. Waugh, Phys. Rev. 175, 453 (1968).
3. A. Haught, Annu. Rev. Phys. Chem. 19, 343 (1968).
4. W. Warren, H. Rabitz, and M. Dahleh, Science 259, 1581 (1993).
5. W. Warren, Science 242, 878 (1988).
6. R. J. Gordon and S. A. Rice, Annu. Rev. Phys. Chem. 48, 601 (1997).
7. S. Rice and S. Shah, Phys. Chem. Chem. Phys. 4, 1683 (2002).
8. R. Ernst, G. Bodenhausen, and A. Wokaun, Principles of Nuclear Magnetic Resonance in One and Two Dimensions (Oxford University Press, Oxford, 1994).
9. M. Nielsen and L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2000).
10. M. Levitt and R. Freeman, J. Magn. Reson. (1969-1992) 33, 473 (1979).
11. M. Levitt, J. Magn. Reson. (1969-1992) 48, 234 (1982).
12. R. Tycko, Phys. Rev. Lett. 51, 775 (1983).
13. A. Shaka and R. Freeman, J. Magn. Reson. (1969-1992) 55, 487 (1983).
14. M. Levitt, Prog. Nucl. Magn. Reson. Spectrosc. 18, 61 (1986).
15. J. Baum, R. Tycko, and A. Pines, Phys. Rev. A 32, 3435 (1985).
16. M. S. Silver, R. I. Joseph, and D. I. Hoult, Phys. Rev. A 31, 2753 (1985).
17. D. Cory, J. Magn. Reson. 103, 23 (1993).
18. H. Cummins, G. Llewellyn, and J. Jones, Phys. Rev. A 67, 042308 (2003).
19. E. Fortunato, M. Pravia, N. Boulant, G. Teklemariam, T. Havel, and D. Cory, J. Chem. Phys. 116, 7599 (2002).
20. D. Cory, A. Fahmy, and T. Havel, Proc. Natl. Acad. Sci. U.S.A. 94, 1634 (1997).
21. N. Gershenfeld and I. Chuang, Science 275, 350 (1997).
22. J. Jones, Prog. Nucl. Magn. Reson. Spectrosc. 38, 325 (2001).
23. D. Cory, R. Laflamme, E. Knill et al., Prog. Phys. 48, 875 (2000).
24. T. Havel, J. Math. Phys. 44, 534 (2003).
25. B. Schumacher, Phys. Rev. A 54, 2614 (1996).
26. E. Fortunato, L. Viola, J. Hodges, G. Teklemariam, and D. Cory, New J. Phys. 4, 5.1 (2002).
27. I. Chuang, N. Gershenfeld, M. Kubinec, and D. Leung, Proc. R. Soc. London, Ser. A 454, 447 (1998).
28. I. Chuang and M. Nielsen, J. Mod. Opt. 44, 2455 (1997).
29. A. Childs, I. Chuang, and D. Leung, Phys. Rev. A 64, 012314/1 (2001).
30. N. Boulant, T. F. Havel, M. A. Pravia, and D. G. Cory, Phys. Rev. A 67, 042322 (2003).
31. M. Pravia, Ph.D. thesis, Massachusetts Institute of Technology, 2002.
32. 2.3. Gates along other axes were not created because to implement them requires only a change of phase on the RF synthesizer, and not new gate.
33. The waveforms of all the pulses were corrected using a RF feedback procedure, reducing distortions caused by amplifier nonlinearities in the experimental setup (Ref. 31).
34. 1,2,3. All of the density matrices discussed in this section were acquired using the eight readouts, with the exception of the input states, which used only the last seven. The last seven readouts alone area also sufficient, but we included the identity because of its particularly simple implementation.